19 citations · 19 across the 1 of their papers we have counts for
2 papers
cond-mat.stat-mech2017★ 19 cited
On recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We analyze a random walk strategy on undirected regular networks involving power matrix functions of the type where indicates a `simple' Laplacian matrix. We re…
math-ph2016
Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels
Thomas Michelitsch, Bernard Collet, Alejandro Riascos +2
We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law ma…